question_answer

A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration \[1.0\text{ }m/{{s}^{2}}\]. If \[g=10\text{ }m/{{s}^{2}},\] the tension in the supporting cable is [AIPMT (S) 2011]

A) 9680 N

B) 11000 N

C) 1200 N

D) 8600 N

Correct Answer: B

Solution :

Total mass = Mass of lift + Mass of person

\[=940+60=1000\text{ }kg\]

\[T-mg=ma\]

Hence,  \[T-1000\times 10=1000\times 1\]

\[T=11000\text{ }N\]